2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)

Answers

Answer 1

Answer:

Larger number = 34

Smaller number = 17

Step-by-step explanation:

Given that:

Sum of numbers = 51

Let,

x be the larger number

y be the smaller number

According to given statement;

x+y=51       Eqn 1

x = 2y        Eqn 2

Putting x=2y in Eqn 1

2y+y=51

3y=51

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]

Putting y=17 in Eqn 2

x=2(17)

x=34

Hence,

Larger number = 34

Smaller number = 17


Related Questions

PLS HELP I WILL GIVE YOU BRAINLIST
Plot each set of points. Which set represents equivalent ratios?
(3, 1), (4, 3), (6, 7)
(2, 1), (6, 3), (10, 5)
(1, 2), (2, 6), (5, 8)
(1, 2), (2, 4), (3, 5)

Answers

Answer:

It is B

Step-by-step explanation:

I just did it! Yesterday <3 Hope this helps!!

Answer:

IT'S B!!!!!!!!!!!!!!!!!!!!!

good night all ✨

[tex]{\boxed{1.}} \: \tt 2x + 8 = 24[/tex]

[tex]{\boxed{2.}} \tt \: 6x = 12 - 6[/tex]

​must accompany "step by step"! :)

Answers

Answer:

28+8=24

61=12-6

Step-by-step explanation:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Subtract the numbers

6x=12-6

6x=6

Divide both side of the equation by the same term

6x/6 6/6

Simplify

x=1

hope it helps took a long time to do lols

Answer:

Subtract 8 from both sides of the equation.

2x+8=24

2x+8-8=24-8

Simplify

2x=16

Divide both side of the equation by the same term

2x/2 16/2

Simplify

x=8

Step-by-step explanation:

Sorry I can't aNswer well

50 points! I will mark brainliest! Find the value of x. Look at pic attached! Anyone who types random things or is just looking for points WILL BE REPORTED

Answers

Answer:

[tex]x=29[/tex]

Step-by-step explanation:

The two pair of angles that are given values are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]2x-10+4x+16=180,\\6x+6=180,\\6x=174,\\x=\fbox{$29$}[/tex].

Answer:

[tex]\huge{ x=29° }[/tex]

Step-by-step explanation:

Here,

The two lines are parallel.

So,The angle (2x-10) and (4x+16) are corresponding. because these angles are the consecutive interior angles.

we know that,

Sum of corresponding angle =180°

According to the question,

[tex]\bold{(2x-10)+(4x+16)=180 }[/tex]

[tex]\bold{2x-10+4x+16=180 }[/tex]

[tex]\bold{ 6x+6=180 }[/tex]

[tex]\bold{6x=180-6 }[/tex]

[tex]\bold{ 6x=174 }[/tex]

[tex]\bold{ x=\dfrac{174}{6} }[/tex]

[tex]\bold{ x=29 }[/tex]

so,

value of x=29°

Marcus has 4 times the sum of 6 and the number of marbles David has let d represent the number of marbles David has write an algebraic expression to represent how many marbles Marcus has.

Answers

Answer:

4(6+d)

Step-by-step explanation:

martin tosses 4 pennies, what is the probability that at least 3 coins land on heads?

Answers

The probability is .25 or 25%

Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?​

Answers

I’m not sure.. I think it would be(-2,4)

9c-12-15c-8-3c=9c+12+-15c+-8+-3c

Answers

What do you need help on?

-9c-20

just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard just do the thingy not that hard

marking people brainlist 7s-s=

Answers

Answer:

6s

Step-by-step explanation:

Find the value of x. Round your answer to the nearest tenth

Answers

hi I am interested for your answers but I can't find 5x-3 in my profile as my number and I am currently in my second week and simplify days of my contract for my current role

the following 3x are some numbers for you and your answers will not care for you and your answers to all of the boxes in my number of days

Pls help due at 2:00

Answers

Answer:

1. $8.77

2. 498.456

Step-by-step explanation:

The answer is 35.09 hope I helped ;)

As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs

Answers

Answer:

14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.

Step-by-step explanation:

The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?

Answers

Answer:

2.28%

Step-by-step explanation:

mean = 5 years = 60 months

standard deviation = 6 months

X = number of years the tires will last

P = probability of ...

z = z-score

6 years = 72 months

z = (# of months - mean) / standard deviation

z = (72 - 60)/6

z = 12/6

z = 2

P(X > 72) = 1 - P(X < 72)

= 1 - P(z < 2)    

(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)

So:

= 1 - .9772

= 0.0228 OR 2.28%

can someone help me solve x

Answers

Answer:6

Step-by-step explanation:solve the equation, you know that it equals 90 because the angle is 90

so 16x-6=90

+6 both sides

16x=96

divided by 16 both sides to isolate x

x=6

Giving brainlest please help xoxo stay safe and healthy

Answers

She had a 20% increase.
40*0.20=8
40+8=48
You’re welcome and I hope you stay safe.
20% increase!!!!! :)

Round 2,389 to the nearest hundred

Answers

Answer:

2,400

Step-by-step explanation:

2,389 rounded to the nearest hundred is 2,400

Please help me, I don't know the difference between an expression and an equation. XD

Answers

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhh

If 75% of a number is 165 and 10% of the same number is 22, find 85% of that number

Answers

Answer:

187

Step-by-step explanation:

0.75x=165 x=220

220*0.85

guys i’m in a hurry please help meeee

Answers

Answer:

try both -1, if I'm wrong I am sorry

PLEASE HELP I HAVE 15 MINS LEFT PLSS

Answers

Answer:

14

Step-by-step explanation:

Answer:

14 hours

Step-by-step explanation:

(times by 8) 105 mins= 1 day (times by 8)

                        840mins            = 8 day

840 mins in hours is 14 hours

ACE THAT TEST!!!

Solve for x
Is a short response

Answers

Answer:

x = 1/4

Step-by-step explanation:

[tex]log_{x}[/tex] 16 = 2 can be written as [tex]16^{x}[/tex] = 2

([tex]2^{4}[/tex])^x = 2^1

if bases are the same we can create this equation:  4x = 1

                                                                                      x = 1/4

The answer for X will equal 1/4 :)

At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If
Mary bought 16 fish for a total cost of $31.60, not including tax, how many of each
type of fish did she buy?
a) 8 zebra fish; 8 neon tetras
b)8 zebra fish; 9 neon tetras
c) 14 zebra fish; 2 neon tetras
d) 7 zebra fish: 9 neon tetras

Answers

The answer is a)

Let me know if you need an explanation

Alexander has pp pennies and nn nickels. He has a maximum of $0 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

p+5n≤0

Step-by-step explanation:

i just took it

-6=n/2-10 step by step one plz

Answers

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Add 10 to both sides:                    4 = n/2Multiply 2 on both sides:              8 = nRewrite:                                          n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                   -6 = 8/2 - 10Divide:                                 -6 = 4 - 10Subtract:                             -6 = -6

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Here you go,
STEP-BY-STEP

Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4​

Answers

Answer:

64x^2/3x^5/4

Step-by-step explanation:

(4x^2/3)^3 / (81x^5)^1/4​

4^3*x^2/3*3 / 3^4*1/4*x^5/4

64*x^2 / 3*x^5/4

Answer for 30points!!!!

Answers

Answer:

The answer is 4x

Step-by-step explanation:

Simpify

1. Combine like terms

2. Solution

THIS IS A 5 POINTS QUESTIONS!

Answer:

4x

Step-by-step explanation:

cus if you put 4x it wouldn't solve

5x-x+7=4x+2

5x-x-4x+7=2

7=2 that is wrong so the answer is 4x

Please help and Imma be postin these all night I literally suck at algebra two so just check my profile if your good at math :)

Answers

Answer:

The range of the equation is y ≥ 9C

Step-by-step explanation:

The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h = [tex]\frac{-b}{2a}[/tex] and k is the value of y at x = h

The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertexThe parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative

∵ The equation is y = x² + 9

→ Compare it with the form above to find a and b

a = 1 and b = 0

a is a positive number

∴ The parabola has a minimum vertex

→ By using the 1st rule above

The range is y ≥ k

→ Use the rule of h above to find it

∵ h = [tex]\frac{-(0)}{2(1)}[/tex] = [tex]\frac{0}{2}[/tex]

h = 0

→ To find k substitute x by the value of h and y by k

∵ k = (0)² + 9

∴ k = 0 + 9

k = 9

The range of the equation is y ≥ 9

Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long How much does Sam need to cut from the board for the project?

Answers

He needs to cut 3/8 off because 3 1/8-2 3/4=3/8.

An atom's mass is determined by the number of ____________ and ___________ in the atom's nucleus.

a
protons, neutrons
b
electrons , protons
c
protons, electrons
d
electrons , neutrons

Answers

Answer:

a

protons, neutrons

Step-by-step explanation:

An atom's mass is determined by the number of protons and neutrons in the atom's nucleus.

Please help me with this!!

Answers

Answer:
2 dollars each

Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.

I need help!!

Simplify this complex fraction

Answers

I think it is A :)))
Other Questions
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